Chitkara Open Access Journals - Blog

TWO- PHASE STRATIFIED SAMPLING ESTIMATOR FOR POPULATION MEAN IN THE PRESENCE OF NONRESPONSE USING SINGLE AUXILIARY VARIABLE

Author(s):  Akan Anieting, University of uyo

Keywords:  Two-phase stratified sampling, Nonresponse, single auxiliary variable

Abstract:  In this article, a new estimator for population mean in two-phase stratified sampling in the presence of nonresponse using single auxiliary variable has been proposed. The bias and Mean Squared Error (MSE) of the proposed estimator has been given using large sample approximation. The empirical study shows that the MSE of the proposed estimator is more efficient than existing estimators. The optimum values of first and second phase sample have been determined.

URL:  https://mjis.chitkara.edu.in/index.php/mjis/article/view/207/139

References:

Chaudhary, M. K. and Singh, V. K.: Estimating the population mean in two-stage sampling with equal size clusters under non-response using auxiliary characteristic.

Mathematical Journal of Interdisciplinary Sciences 2(1), 43–55 (2013).

Chaudhary, M. K., Singh, R., Shukla, R. K., Kumar, M.: A family of estimators for estimating population mean in stratified sampling under non- response. Pakistan Journal of Statistics and Operation Research 5(1), 47–54 (2009).

Chaudhary, M. K., Singh, V. K. and Shukla, R. K.: Combined-type family of estimators of population mean in stratified random sampling under nonresponse. Journal of Reliability and Statistical Studies (JRSS), 5(2), 133–142 (2012).

Hansen, M. H. and Hurwitz, W. N.: The problem of nonresponse in sample surveys. Journal of The American Statistical Association 41(236), 517–529 (1946). DOI: 10.1080/01621459.1946.10501894

Kadilar, C. and Cingi, H.: Ratio estimators in stratified random sampling. Biometrical journal 2(45), 218–225 (2003).

Khare, B. B. and Sinha, R. R.: Estimation of finite population ratio using two-phase sampling scheme in the presence of non-response. Aligarh J. Stat. 24, 43-56 (2004).

Khoshnevisan, M., Singh, Chauhan, R., P., Sawan, N. and Smarandache, F.: A general family of estimators for estimating population mean using known value of some population parameter(s). Far East Journal of Theoretical Statistics 22, 181–191 (2007).

Shabbir, J. and Gupta, S.: Improved ratio estimators in stratified sampling. American Journal of Mathematical and Management Sciences 25(3-4), 293–311 (2005).

Singh, R., Malik, S., Chaudhary, M. K., Verma, H. K. and Adewara, A. A.: A general family of ratiotype estimators in systematic sampling. Journal of Reliability and Statistical Studies 5(1), 73–82 (2012).

Upadhyaya, L. N. and Singh, H. P.: Use of transformed auxiliary variable in estimating the finite population mean. Biometrical Journal 41(5), 627–636 (1999).